Mesh analysis worksheet with answers

Free printable Mesh analysis worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy
R1​ = 8 ΩR2​ = 2 Ω+−V1​20 VR3​12 ΩAR4​6 ΩBI1​I2​

Use mesh analysis to find the mesh current I1 (clockwise).

V1 = 20 VR1 = 8 ΩR2 = 2 ΩR3 = 12 ΩR4 = 6 Ω
I1 = A
2.Easy
R1​ = 10 ΩR2​ = 6 ΩIR2​+−V1​10 VR3​3 ΩAR4​12 ΩBI1​I2​

Use mesh analysis to find the current IR2 through R2 in the direction of the arrow.

V1 = 10 VR1 = 10 ΩR2 = 6 ΩR3 = 3 ΩR4 = 12 Ω
IR2 = A
3.Medium
R1​ = 20 ΩR2​ = 5 Ω+−V1​15 VR3​5 Ω+−VR3​A+−V2​10 VI1​I2​

Use mesh analysis to find the voltage VR3 across R3 with the polarity shown.

V1 = 15 VV2 = 10 VR1 = 20 ΩR2 = 5 ΩR3 = 5 Ω
VR3 = V
4.Medium
R1​ = 6 ΩR2​ = 15 Ω+−V1​6 VR3​4 ΩA+−V2​24 VI1​I2​

Use mesh analysis to find the mesh current I2 (clockwise).

V1 = 6 VV2 = 24 VR1 = 6 ΩR2 = 15 ΩR3 = 4 Ω
I2 = A
5.Hard
R1​ = 4 ΩR2​ = 10 Ω+−VR2​R3​ = 10 Ω+−V1​18 VR4​12 ΩAR5​12 ΩB+−V2​9 VI1​I2​I3​

Use mesh analysis to find the voltage VR2 across R2 with the polarity shown.

V1 = 18 VV2 = 9 VR1 = 4 ΩR2 = 10 ΩR3 = 10 ΩR4 = 12 ΩR5 = 12 Ω
VR2 = V
6.Hard
R1​ = 25 ΩR2​ = 6 ΩR3​ = 30 Ω+−V1​24 VR4​25 ΩAR5​4 ΩB+−V2​5 VI1​I2​I3​

Use mesh analysis to find the mesh current I3 (clockwise).

V1 = 24 VV2 = 5 VR1 = 25 ΩR2 = 6 ΩR3 = 30 ΩR4 = 25 ΩR5 = 4 Ω
I3 = A

Answer key

  1. 1. I1 = 1.563 A
  2. 2. IR2 = 0.1136 A
  3. 3. VR3 = 6.111 V
  4. 4. I2 = −1.241 A
  5. 5. VR2 = 4.655 V
  6. 6. I3 = −0.08611 A

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